Question

5.1 assignment
possible points: 0.45
algebra find the value of x.
(there is a diagram with angles 7x° and (3x + 16)° and some marked congruent segments and right angles)
x =

Explanation:

Step1: Set up the equation

Since the two angles are equal (angle bisector property), we have \(7x = 3x+16\).

Step2: Solve for \(x\)

Subtract \(3x\) from both sides: \(7x - 3x=3x + 16-3x\), which simplifies to \(4x=16\).
Divide both sides by \(4\): \(x=\frac{16}{4}\).

Answer:

\(x = 4\)